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4 years ago

Solve for x. 3^x−1=9^x+2 Enter your answer in the box.

Mathematics

1 answer:

slava [35]4 years ago

4 0

Answer:

-5 =x

Step-by-step explanation:

3^(x-1) = 9^(x+2)

Replace 9 with 3^2

3^(x-1) = 3^2^(x+2)

We know that a power to a power means the powers are multiplied

a^b^c = a^(b*c)

3^(x-1) = 3^(2x+2)

When the bases are the same, the powers have to be the same

x-1 = 2x+4

Subtract x from each side

x-x-1 =2x-x+4

-1 =x+4

Subtract 4 from each side

-1-4 =x+4-4

-1-4 = x

-5 =x

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Answer:

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3 years ago

Gina looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of one

soldier1979 [14.2K]

Answer:

For a better understanding of the solution provided here, please find the diagram attached.

In the diagram, ABCD is the room.

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Step-by-step explanation:

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3 years ago

Kyle incorrectly says that the product of - ( - 6 ) # ( - 1 ) is 6 . 11. After a recycling awareness program, the number of tons

GaryK [48]

Complete question:

Kyle incorrectly says that the product of - ( - 6 ) # ( - 1 ) is 6 . 11. After a recycling awareness program, the number of tons of recyclable material taken to the landfill is reduced by 13 7/10 tons per month. Represent the total change in the tons of recyclable material taken to the landfill after 7 months resulting from the awareness program a. What is the correct product? 10 month. Represent the total change in the b. What was Kyle's likely error?

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Kyle incorrectly says that the product of - ( - 6 ) ( - 1 ) is 6

-(-6)(-1) = 6 [incorrect]

Correction:

-(-6) (-1) :

- (-6) = 6

6 (-1) = - 6

Given that reduction in materials = 13 7/10 tons per month

Monthly reduction = 13 7/10 = 137/10 tons

After 7 months : (7 * 137/10) = 959/10 tons = 95.9 tons

Change in amount of material taken to the land fill:

Initial amount - amount after 7 months

If initial amount = x

Change in amonnt = (x - 95.9) tons

8 0

3 years ago

Please show work!!!!!!!

kolezko [41]

Answer:

Step-by-step explanation:

The cylindrical part

Area of the cylindrical part = Circumference of the circle * height

Area of the cylindrical part = pi * d * height

Area = 3.14 * 10 * 9

Area = 282.6

Lid

Area = pi * r^2

r = 5

Area = 3.14* 5^2 * 2

Area = 157

Total 439.6

I know this doesn't look right according to the diagram, but it is the only way that you can solve the question. That is, you must assume there are two lids, not one as the diagram suggests.

4 0

3 years ago

I bombed this test plz help.

Eddi Din [679]

Step-by-step explanation:

a = -52 - b / 4

b = -52 - 4a

plz mark my answer as brainlist plzzzz. hope this will be helpful to you .

5 0

3 years ago